
Treatise on Differential Geometry and its role in Relativity Theory
by Subenoy Chakraborty
Publisher: arXiv.org 2022
Number of pages: 259
Description:
These notes will be helpful to undergraduate and postgraduate students in theoretical physics and in applied mathematics. Modern terminology in differential geometry has been discussed in the book with the motivation of geometrical or pictorial way of thinking. The book shows the wide applicability of differential geometry to relativity theory.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
A Course in Riemannian Geometryby David R. Wilkins - Trinity College, Dublin
From the table of contents: Smooth Manifolds; Tangent Spaces; Affine Connections on Smooth Manifolds; Riemannian Manifolds; Geometry of Surfaces in R3; Geodesics in Riemannian Manifolds; Complete Riemannian Manifolds; Jacobi Fields.
(12824 views)
Riemannian Geometry: Definitions, Pictures, and Resultsby Adam Marsh - arXiv
A pedagogical but concise overview of Riemannian geometry is provided in the context of usage in physics. The emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions and relevant theorems.
(8307 views)
Complex Analysis on Riemann Surfacesby Curtis McMullen - Harvard University
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; etc.
(15642 views)
Lectures on Geodesics in Riemannian Geometryby M. Berger - Tata Institute of Fundamental Research
The main topic of these notes is geodesics. Our aim is to give a fairly complete treatment of the foundations of Riemannian geometry and to give global results for Riemannian manifolds which are subject to geometric conditions of various types.
(10789 views)